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Elementary Calculus Integral Theorems of Calculus Examples Antiderivative of a Line
 

Antiderivative of a Line

(a) 

  Find 04_integration-130.gif. Since cx is an antiderivative of c,

04_integration-131.gif
(b)

 Find 04_integration-132.gif. ½x2 is an antiderivative of x. Thus

04_integration-133.gif

The above example gives the same result that we got before but is much simpler. We can easily go further.

Last Update: 2006-Nov-05